Multi-graviton theory in vierbein formalism

TL;DR

This paper extends multi-graviton theories from simple circle compactifications to general graphs, introduces a non-linear vierbein formalism, and explores cosmological solutions within this framework.

Contribution

It generalizes multi-graviton theories to arbitrary graph structures and develops a non-linear vierbein formalism for cosmological applications.

Findings

Modes of particles depend on the graph structure

Non-linear vierbein formalism enables cosmological solution analysis

Generalized multi-graviton models on complex graphs

Abstract

Recently, multi-graviton theory on a simple closed circuit graph corresponding to the $S^1$ compactification of the Kaluza-Klein (KK) theory has been considered. In the present paper, we extend this theory to that on a general graph and study what modes of particles are included. Furthermore, we generalize it in a possible non-linear theory based on the vierbein formalism and study cosmological solutions.